##  [Newton's Identities](/newtons-identities) 

  ##  [Newton's Identities](https://algebra.quantumdictionary.io/newtons-identities-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A collection of equalities connecting the power sums of the roots of a polynomial (s_k = sum r_i^k) with the polynomial's coefficients expressed as elementary symmetric polynomials; they give recursive formulae between power sums and elementary symmetric functions.